Question

2. The following data defines the sea-level concentration of dissolved oxygen for fresh water as a function of temperature: T0 8 16 24 32 14.621 11.843 9.870 8.418 7.305 Write a MATLAB code for Lagrange Interpolation to find 1st degree and 2nd degree polyno- mial approximation to the value of 0(27).
by matlab

Answer 1

MATLAB CODE-------------------------------------------

clc;

clear all

x=27;

T=[0 8 16 24 32];

O=[14.621 11.843 9.870 8.418 7.305];

n=size(T,2);

L=ones(n,size(x,2));

for i=1:n

for j=1:n

if (i~=j)

L(i,:)=L(i,:).*(x-T(j))/(T(i)-T(j));

end

end

end

y=0;

for i=1:n

y=y+O(i)*L(i,:);

end

fprintf('Interpolated value of Y for x=27 is = %d',y)

OUTPUT-----------------------------------------------

Interpolated value of Y for x=27 is = 7.96742